The dirac equation and its solutions / Vladislav G. Bagrov, Dmitry Gitman.

Format:

Book

Author/Creator:

Bagrov, Vladislav G., author.

Gitman, Dmitry, author.

Series:

De Gruyter studies in mathematical physics ; 4.

De Gruyter studies in mathematical physics, 2194-3532 ; volume 4

Language:

English

Subjects (All):

Dirac equation.

Quantum field theory.

Differential equations, Partial.

Wave equation.

Physical Description:

1 online resource (444 p.)

Edition:

1st ed.

Place of Publication:

Berlin : De Gruyter, [2014]

Language Note:

English

Summary:

The Dirac equation is of fundamental importance for relativistic quantum mechanics and quantum electrodynamics. In relativistic quantum mechanics, the Dirac equation is referred to as one-particle wave equation of motion for electron in an external electromagnetic field. In quantum electrodynamics, exact solutions of this equation are needed to treat the interaction between the electron and the external field exactly. In this monograph, all propagators of a particle, i.e., the various Green's functions, are constructed in a certain way by using exact solutions of the Dirac equation.

Contents:

Front matter

Preface

Acknowledgements

Contents

1. Introduction

2. Relativistic equations of motion

3. Basic exact solutions

4. Particles in fields of special structure

5. Dirac-Pauli equation and its solutions

6. Propagators of relativistic particles

7. Electron interacting with a quantized electromagnetic plane wave

8. Spin equation and its solutions

9. One-dimensional Schrödinger equation and its solutions

10. Coherent states

A. Appendix 1

B. Appendix 2

Bibliography

Index

Backmatter

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

Description based on online resource; title from PDF title page (ebrary, viewed January 26, 2015).

ISBN:

9783110377750

3110377756

9783110263299

3110263297

OCLC:

890066885